anonymous
  • anonymous
Could someone please help me?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Lime
  • Lime
Alternate Interior angles are congruent when lines are parallel. Use Angle Addition Postulate.
Lime
  • Lime
\[m \angle ABD+m \angle CBD=m \angle B \]

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Lime
  • Lime
\[\angle B \approx \angle D \]
Lime
  • Lime
Or \[\angle A \approx \angle C\]
Lime
  • Lime
I'm guessing you might have figured that out yourself. The key phrase is 'Alternate Interior angles are congruent when lines are parallel.'
anonymous
  • anonymous
yeah. haha So like what else do I need to write to prove they are congruent?
anonymous
  • anonymous
I searched all through the lesson and I can't find where they say Angles. I only do the sides! ?
Lime
  • Lime
It's a property of parallelograms. That statement is really enough proof as it is. I would back that statement up with the diagram and equations; if the question pushes for more information.
anonymous
  • anonymous
SO write "Alternate Interior angles are congruent when lines are parallel."??
Lime
  • Lime
Opposite angles are congruent because correspondent angles on congruent triangles are congruent. Yes, Alternate Interior angles are congruent when lines are parallel. The question is referring to angles.
anonymous
  • anonymous
Thank you.

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